S.D. Codified Laws § 4-8A-2
Those members of the South Dakota Legislature who serve on the senate and house of representatives standing committees on appropriations during any regular legislative session shall serve as a special committee during the interim between regular legislative sessions. The president pro tempore of the Senate may remove any member of the Senate from the special committee if requested by the member of the special committee. The president pro tempore of the Senate may appoint any member of the Senate to fill a vacancy on the special committee that may occur due to the death, resignation, or removal of a member of the Senate serving on the special committee. The speaker of the House of Representatives may remove any member of the House of Representatives from the special committee if requested by the member of the special committee. The speaker of the House of Representatives may appoint any member of the House of Representatives to fill a vacancy on the special committee that may occur due to the death, resignation, or removal of a member of the House of Representatives serving on the special committee.
SDCL 4-8A-2